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A Polynomial time Algorithm for 3SAT

Published 12 Apr 2010 in cs.DS | (1004.3702v92)

Abstract: By creating some new concepts and methods: checking tree, long unit path, direct contradiction unit pair, indirect contradiction unit pair, additional contradiction unit pair, 2-unit layer and 3-unit layer, redundant units, and destroying parallel pairs , we successfully transform solving a 3SAT problem to solving 2SAT problems in polynomial time. Thus we proved that NP=P.

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